A value of the number m for which there is either no solution or an infinite number of solutions (u,w) to the system of equations shown below is:

Question

6⁢u-w=6
m⁢u+6⁢w=-2

Answer 1

If m = -36, there is no solution because the two equations could not both be true simultaneously.

-36u + 6w = -2 is the same as saying that
6u -w = 1/3

which contradicts the first equation.